A question on the Non-degenerated bilinear form

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Prove that $<C(G), C(G)>$ is dual system with bilinear form $$\int_G \phi(x)\psi(x)dx $$ and $\psi(x),\psi(x)\in C(G)$

so here i was trying bilinear form im not getting how to prove non-degenerate

definition of the non-degenerate bilinear form is in Linear Integral Equations By Raimer Kress